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3423200420 = 225316139007
BaseRepresentation
bin1100110000001001…
…1110010010100100
322211120100121011202
43030002132102210
524002314403140
61323403022032
7150554503103
oct31402362244
98746317152
103423200420
1114a7342162
127b650a918
13427289ba3
142468ca03a
151507db915
hexcc09e4a4

3423200420 has 48 divisors (see below), whose sum is σ = 7433545728. Its totient is φ = 1322801280.

The previous prime is 3423200419. The next prime is 3423200437. The reversal of 3423200420 is 240023243.

It is a super-2 number, since 2×34232004202 = 23436602230976352800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3423200392 and 3423200401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375557 + ... + 384563.

It is an arithmetic number, because the mean of its divisors is an integer number (154865536).

Almost surely, 23423200420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3423200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716772864).

3423200420 is an abundant number, since it is smaller than the sum of its proper divisors (4010345308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3423200420 is a wasteful number, since it uses less digits than its factorization.

3423200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9660 (or 9658 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3423200420 is about 58508.1226839488. The cubic root of 3423200420 is about 1507.1070760934.

Adding to 3423200420 its reverse (240023243), we get a palindrome (3663223663).

The spelling of 3423200420 in words is "three billion, four hundred twenty-three million, two hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 613 620 1226 2452 3065 6130 9007 12260 18014 19003 36028 38006 45035 76012 90070 95015 180140 190030 279217 380060 558434 1116868 1396085 2792170 5521291 5584340 11042582 22085164 27606455 55212910 110425820 171160021 342320042 684640084 855800105 1711600210 3423200420